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224042313141 = 32130491907701
BaseRepresentation
bin1101000010100111110…
…1100110010110110101
3210102021220010201220200
43100221331212112311
512132314313010031
6250531300151113
722120656145263
oct3205175462665
9712256121820
10224042313141
118701a054989
1237507398499
1318186311b7a
14abb51b3433
155c640228e6
hex3429f665b5

224042313141 has 12 divisors (see below), whose sum is σ = 323641644300. Its totient is φ = 149350017600.

The previous prime is 224042313139. The next prime is 224042313163. The reversal of 224042313141 is 141313240422.

224042313141 is a `hidden beast` number, since 22 + 404 + 231 + 3 + 1 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84131903025 + 139910410116 = 290055^2 + 374046^2 .

It is not a de Polignac number, because 224042313141 - 21 = 224042313139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224042313191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 836410 + ... + 1071291.

It is an arithmetic number, because the mean of its divisors is an integer number (26970137025).

Almost surely, 2224042313141 is an apocalyptic number.

It is an amenable number.

224042313141 is a deficient number, since it is larger than the sum of its proper divisors (99599331159).

224042313141 is a wasteful number, since it uses less digits than its factorization.

224042313141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920756 (or 1920753 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 224042313141 its reverse (141313240422), we get a palindrome (365355553563).

The spelling of 224042313141 in words is "two hundred twenty-four billion, forty-two million, three hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 13049 39147 117441 1907701 5723103 17169309 24893590349 74680771047 224042313141